MinT - Information on Result #596188

Information on Result #596188

There is no linear OOA(2²⁵⁹, 265, F₂, 7, 132) (dual of [(265, 7), 1596, 133]-NRT-code), because 5 times depth reduction would yield linear OOA(2²⁵⁹, 265, F₂, 2, 132) (dual of [(265, 2), 271, 133]-NRT-code), but

4 step m-reduction [i] would yield linear OA(2²⁵⁵, 265, F₂, 128) (dual of [265, 10, 129]-code), but
- residual code [i] would yield linear OA(2¹²⁷, 136, F₂, 64) (dual of [136, 9, 65]-code), but
  - residual code [i] would yield linear OA(2⁶³, 71, F₂, 32) (dual of [71, 8, 33]-code), but
    - residual code [i] would yield linear OA(2³¹, 38, F₂, 16) (dual of [38, 7, 17]-code), but
      - residual code [i] would yield linear OA(2¹⁵, 21, F₂, 8) (dual of [21, 6, 9]-code), but
        residual code [i] would yield linear OA(2⁷, 12, F₂, 4) (dual of [12, 5, 5]-code), but
        bound by Fontaine and Peterson [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.